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Finding the Third Proportional to 3,576.34 and 7,249.97

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Solution

The third proportional to 3,576.34 and 7,249.97 is: 14,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.34 : 7,249.97 = 7,249.97 : x
  2. Step 2: Convert to fraction form
    3,576.34/7,249.97 = 7,249.97/x
  3. Step 3: Cross multiply
    3,576.34x = 7,249.97 × 7,249.97
  4. Step 4: Simplify right side
    3,576.34x = 52,562,131.84
  5. Step 5: Solve for x
    x = 52,562,131.84/3,576.34
  6. Step 6: Final answer
    x = 14,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.